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Finding the Fourth Proportional to 815,843,923.80, 1,223,764,369.38 and 255,648,649.56

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Solution

The fourth proportional to 815,843,923.80, 1,223,764,369.38 and 255,648,649.56 is: 383,472,499.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,843,923.80 : 1,223,764,369.38 = 255,648,649.56 : x
  2. Step 2: Convert to fraction form
    815,843,923.80/1,223,764,369.38 = 255,648,649.56/x
  3. Step 3: Cross multiply
    815,843,923.80x = 1,223,764,369.38 × 255,648,649.56
  4. Step 4: Simplify right side
    815,843,923.80x = 312,853,708,411,642,048
  5. Step 5: Solve for x
    x = 312,853,708,411,642,048/815,843,923.80
  6. Step 6: Final answer
    x = 383,472,499.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.